Search a number
-
+
122023011210331 = 71117893851271981
BaseRepresentation
bin11011101111101010110010…
…001111001101010001011011
3121000001021201110021111011211
4123233222302033031101123
5111443211111332212311
61111304333020003551
734462604653562050
oct3357526217152133
9530037643244154
10122023011210331
11359757397709a0
1211828a636905b7
13531194a17691a
14221bd33ac9027
15e19172909821
hex6efab23cd45b

122023011210331 has 64 divisors (see below), whose sum is σ = 162934363745280. Its totient is φ = 88460951040000.

The previous prime is 122023011210311. The next prime is 122023011210367. The reversal of 122023011210331 is 133012110320221.

It is not a de Polignac number, because 122023011210331 - 25 = 122023011210299 is a prime.

It is a super-2 number, since 2×1220230112103312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122023011210311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448509361 + ... + 448781341.

It is an arithmetic number, because the mean of its divisors is an integer number (2545849433520).

Almost surely, 2122023011210331 is an apocalyptic number.

122023011210331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122023011210331 is a deficient number, since it is larger than the sum of its proper divisors (40911352534949).

122023011210331 is a wasteful number, since it uses less digits than its factorization.

122023011210331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275956.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 122023011210331 its reverse (133012110320221), we get a palindrome (255035121530552).

The spelling of 122023011210331 in words is "one hundred twenty-two trillion, twenty-three billion, eleven million, two hundred ten thousand, three hundred thirty-one".

Divisors: 1 7 11 17 77 89 119 187 623 979 1309 1513 3851 6853 10591 16643 26957 42361 65467 116501 271981 296527 342739 458269 720137 1903867 2399173 2991791 3770129 4623677 5040959 5826563 20942537 24206309 26390903 32365739 40785941 50860447 64092193 169444163 266269399 356023129 411507253 448645351 1047398831 1863885793 2880550771 4526579783 7331791817 11521387141 17805780127 31686058481 80649709987 93218495959 124640460889 195863581397 652529471713 1025403455549 1371045069779 1584714431303 7177824188843 11093001019121 17431858744333 122023011210331